Vertical Line Test: Determining if a Linear Graph Represents a Function

Does the graph below represent a function?

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Step-by-step video solution

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00:00 Is the given graph a function?
00:05 The definition of a function is that each X value has one Y value
00:10 Let's check the graph values in the table
00:15 We can see that each value has only one Y value, therefore it's a function
00:22 And this is the solution to the question

Step-by-step written solution

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1

Understand the problem

Does the graph below represent a function?

–7–7–7–6–6–6–5–5–5–4–4–4–3–3–3–2–2–2–1–1–1111222333444555666777–4–4–4–3–3–3–2–2–2–1–1–1111222333000

2

Step-by-step solution

It is important to remember that a function is an equation that assigns to each value in domain x x only one value in range y y .

Since we can see that for every x x value found on the graph there is only one correspondingy y value, the graph is indeed a function.

3

Final Answer

Yes

Practice Quiz

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Is the given graph a function?

–7–7–7–6–6–6–5–5–5–4–4–4–3–3–3–2–2–2–1–1–1111222333444555666777–4–4–4–3–3–3–2–2–2–1–1–1111222333000

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